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mihalych1998 [28]
2 years ago
7

Rewrite the expression with positive exponents (problem #4)

Mathematics
1 answer:
Anestetic [448]2 years ago
7 0
Having a negative exponent is the same as have the inverse of the exponent

x⁻² = 1 / x²

Plugging in the Numbers,

(12a^3b^-4)/ (4a^-2b)


This is the Answer

12a^3(4a^2)/(3b^5)
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Explain why there is a discrepancy between them if there is any?
vredina [299]
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5 0
3 years ago
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Read 2 more answers
Question 1 WRONG With what number must 3.475817 be multiplied in order to obtain the number 34,758.17? A 100 1,000 10,000 D 100,
lbvjy [14]

Answer:

1 - Option C - 10,000

2 - 3x+5 will be 12 more than 3x-7.

Step-by-step explanation:

1) To find : With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?

Solution :

The number 3.475817 is multiplied by number to obtain 34,758.17.

As we see that, the decimal is moved four places to the right.

Which means the number is multiplied by 10000.

i.e. 3.475817\times 10000=34,758.17

Therefore, option C is correct.

2) To find : How much greater is the value of 3x+5 than the value of 3x−7?

Solution ;

Assuming that x is the same value in each equation,

In order to determine the difference between the two values,

We ignore the 3x part as it is the same on both of the equations.

So, from 5 to -7 i.e. 7+5=12.

Therefore, 3x+5 will be 12 more than 3x-7.

5 0
2 years ago
Let $f$ be a function such that $f(x+y) = x + f(y)$ for any two real numbers $x$ and $y$. if $f(0) = 2$, then what is $f(2012)?$
marusya05 [52]

<span>Given:

f(0) = 2</span>

So first of all, we let x = 2012, y = 0: 

<span>
Then, F(2012) = 2012 + f(0)

Since f(0) = 2, then f(2012) = 2012 + 2 = 2014.

To add, </span>the process that relates an input to an output is called a function.

 

 

<span>There are always three main parts of a function, namely:

</span>Input

The Relationship

The Output

 

The classic way of writing a function is "f(x) = ... ".

 

What goes into the function is put inside parentheses () after the name of the function: So, f(x) shows us the function is called "f", and "x" goes in.

 

 

What a function does with the input can be usually seen as:

 

<span>f(x) = x2</span><span> reveals to us that function "f" takes "x<span>" and squares it.</span></span>

3 0
3 years ago
The middle side of a triangle is half of 3 times the length of the shortest side. The longest side is 2 centimeters longer than
USPshnik [31]

<u>Answer:</u>  

The difference between the longest and shortest sides of the triangle is 4 cm.

<u>Explanation:</u>

<em>Step Number One:</em>

Let the shortest side of the triangle have a length of x.

The middle side of the triangle has a length that is half of 3 times the length of the shortest side. This can be written as 1/2*3x, which equals 3/2x.

The longest side of the triangle has a length that is 2 centimeters longer than the length of the middle side. This can be written as 3/2x + 2.

<em>Step Number Two: </em>

The perimeter of the triangle, which can be found by adding the lengths of all of the sides of the triangle, is 18 centimeters. This can be shown by the following equations:

Shortest Side + Middle Side + Longest Side = Perimeter

x + 3/2x + 3/2x + 2 = 18

4x + 2 = 18

4x = 16

x = 16/4

x = 4

<em>Step Number Three: </em>

This means that the shortest side of the triangle has a length of 4 centimeters and the longest side of the triangle has a length of 8 centimeters.

8 cm - 4 cm = 4 cm

--------------------------------------------------------------------------------------------------------------

Are you still confused? Not feeling confident in your ability to solve these types of problems? Some helpful topics to practice are listed below!

<u>Still confused on ...</u>

Step 1 - Practice equation solving!

Step 2 - Practice perimeter!

Step 3 - Practice addition and subtraction!

Remember: Certain problems may be tricky, but practice makes perfect!

--------------------------------------------------------------------------------------------------------------

<em>Answer by Math_Is_Me_123         </em>

7 0
2 years ago
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